Jun Hu, Ya-Juan Dong, Zhi-Feng Liu, Jin-Biao Yu, Xiao-Hong Wang, Yong Wang
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An Advanced Nine-Point Scheme based on Finite Analysis in Two-Dimensional Numerical Reservoir Simulation
This article proposes an advanced nine-point (9P) scheme for solving multiphase flow in heterogeneous porous media, which is an extension of the 5P scheme constructed by the finite analytical method (FAM). As media heterogeneity increases, the error of traditional algorithms become uncontrollable due to their significant underestimation of nodal transmissibility. However, the transmissibility calculated in FAM is based on a local analytical solution and its accuracy is not dependent on the strength of heterogeneity. The proposed FAM-9P scheme offers two distinct advantages. Compared to the traditional 9P scheme, it provides much more accurate simulation results, especially for strongly heterogeneous porous media. Additionally, compared to the FAM-5P scheme, it can alleviate grid orientation effect (GOE) under adverse mobility ratios.
期刊介绍:
The Journal of Porous Media publishes original full-length research articles (and technical notes) in a wide variety of areas related to porous media studies, such as mathematical modeling, numerical and experimental techniques, industrial and environmental heat and mass transfer, conduction, convection, radiation, particle transport and capillary effects, reactive flows, deformable porous media, biomedical applications, and mechanics of the porous substrate. Emphasis will be given to manuscripts that present novel findings pertinent to these areas. The journal will also consider publication of state-of-the-art reviews. Manuscripts applying known methods to previously solved problems or providing results in the absence of scientific motivation or application will not be accepted. Submitted articles should contribute to the understanding of specific scientific problems or to solution techniques that are useful in applications. Papers that link theory with computational practice to provide insight into the processes are welcome.